GCD of 96, 548, 816, 198 Calculator

Given Input numbers are 96, 548, 816, 198

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 96, 548, 816, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 548, 816, 198 is 2.

Therefore, GCD of numbers 96, 548, 816, 198 is 2

Given Input Data is 96, 548, 816, 198

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 198 is 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(96, 548) = 13152

GCD(96, 548) = ( 96 x 548 ) / 13152

GCD(96, 548) = 52608 / 13152

GCD(96, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 816

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 816) = 816

GCD(4, 816) = ( 4 x 816 ) / 816

GCD(4, 816) = 3264 / 816

GCD(4, 816) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 198

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

GCD(4, 198) = 792 / 396

GCD(4, 198) = 2

GCD of 96, 548, 816, 198 is 2

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1. What is the GCD of 96, 548, 816, 198?

GCD of 96, 548, 816, 198 is 2

2. Where do I get the detailed procedure to find GCD of 96, 548, 816, 198?

You can find a detailed procedure to find GCD of 96, 548, 816, 198 on our page.

3. How to find GCD of 96, 548, 816, 198 on a calculator?

You can find the GCD of 96, 548, 816, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.